Scattering for NLS with a sum of two repulsive potentials
Annales de l'Institut Fourier, Volume 70 (2020) no. 5, pp. 1847-1869.

We prove the scattering for a defocusing nonlinear Schrödinger equation with a sum of two repulsive potentials with strictly convex level surfaces, thus providing a scattering result in a trapped setting similar to the exterior of two strictly convex obstacles.

Nous montrons la diffusion pour une équation de Schrödinger non linéaire défocalisante avec une somme de deux potentiels répulsifs dont les surfaces de niveau sont strictement convexes. Il s’agit d’un résultat dans une géométrie captante similaire à l’extérieur de deux obstacles strictement convexes.

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DOI: 10.5802/aif.3385
Classification: 35Q55, 35B40
Keywords: nonlinear Schrödinger equation, scattering, trapped trajectories, Morawetz estimates, concentration-compactness/rigidity
Mot clés : équation de Schrödinger non linéaire, diffusion, trajectoires captées, estimées de Morawetz, concentration-compacité/rigidité

Lafontaine, David 1

1 University of Bath Dept. of Mathematical Sciences Bath BA2 7AY (United Kingdom)
License: CC-BY-ND 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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Lafontaine, David. Scattering for NLS with a sum of two repulsive potentials. Annales de l'Institut Fourier, Volume 70 (2020) no. 5, pp. 1847-1869. doi : 10.5802/aif.3385. https://aif.centre-mersenne.org/articles/10.5802/aif.3385/

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